{ "id": "1609.04594", "version": "v1", "published": "2016-09-15T12:24:16.000Z", "updated": "2016-09-15T12:24:16.000Z", "title": "Discrete Dirac-Kähler equation and its formulation in algebraic form", "authors": [ "Volodymyr Sushch" ], "comment": "13 pages", "categories": [ "math-ph", "math.MP" ], "abstract": "A relationship between the discrete Dirac-K\\\"{a}hler equation and discrete analogues of some Dirac type equations in the geometric spacetime algebra is discussed. We show that a solution of the discrete Dirac-K\\\"{a}hler equation can be represented as the sum and difference of solutions of discrete Dirac type equations with the corresponding sign of the mass term.", "revisions": [ { "version": "v1", "updated": "2016-09-15T12:24:16.000Z" } ], "analyses": { "subjects": [ "39A12", "39A70", "81Q05" ], "keywords": [ "discrete dirac-kähler equation", "algebraic form", "discrete dirac type equations", "formulation", "geometric spacetime algebra" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }